{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.09810791871058173\n",
      "0.09429978888106971\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib\n",
    "\n",
    "matplotlib.rcParams['svg.fonttype'] = 'none'\n",
    "\n",
    "# 数据\n",
    "data = [[[2.0, 2, 2.0], [2.0, 3, 3.0], [3.0, 3, 2.0], [2.0, 4, 3.0], [6.0, 3, 3.0], [2.0, 3, 2.0], [3.0, 3, 3.0], [1.0, 3, 2.0], [3.0, 3, 2.0], [4.0, 3, 3.0], [3.0, 3, 3.0], [4.0, 5, 4.0], [2.0, 3, 2.0], [2.0, 4, 4.0], [2.0, 4, 4.0], [2.0, 3, 3.0], [2.0, 3, 3.0], [6.0, 4, 3.0], [3.0, 3, 3.0], [3.0, 3, 2.0], [2.0, 2, 2.0], [3.0, 2, 2.0], [3.0, 3, 2.0], [3.0, 3, 3.0], [2.0, 2, 2.0], [2.0, 2, 2.0], [2.0, 2, 2.0], [3.0, 4, 3.0], [2.0, 2, 2.0], [4.0, 3, 3.0], [4.0, 3, 3.0], [4.0, 4, 4.0], [3.0, 3, 2.0], [2.0, 2, 2.0], [3.0, 5, 4.0], [2.0, 2, 2.0], [3.0, 3, 2.0], [2.0, 2, 2.0], [2.0, 3, 3.0], [3.0, 2, 2.0], [2.0, 3, 3.0], [3.0, 3, 2.0], [3.0, 2, 2.0], [2.0, 2, 2.0], [2.0, 2, 2.0], [3.0, 2, 2.0], [3.0, 4, 4.0], [3.0, 3, 2.0], [3.0, 4, 4.0], [4.0, 3, 3.0], [3.0, 3, 3.0], [2.0, 3, 3.0], [4.0, 4, 4.0], [3.0, 3, 3.0], [3.0, 4, 4.0], [3.0, 3, 2.0], [4.0, 3, 2.0], [3.0, 3, 3.0], [2.0, 3, 3.0], [2.0, 3, 2.0]], [[4.0, 3, 3.0], [4.0, 4, 4.0], [4.0, 5, 4.0], [2.0, 4, 3.0], [5.0, 4, 4.0], [4.0, 5, 5.0], [3.0, 4, 3.0], [5.0, 5, 5.0], [4.0, 3, 3.0], [4.0, 4, 3.0], [4.0, 6, 4.0], [3.0, 3, 3.0], [4.0, 5, 4.0], [4.0, 5, 5.0], [4.0, 4, 4.0], [5.0, 3, 3.0], [3.0, 3, 3.0], [2.0, 3, 3.0], [4.0, 4, 3.0], [3.0, 4, 3.0], [4.0, 5, 5.0], [4.0, 5, 3.0], [4.0, 4, 4.0], [3.0, 4, 4.0], [3.0, 4, 4.0], [3.0, 3, 3.0], [3.0, 4, 3.0], [3.0, 4, 3.0], [4.0, 4, 4.0], [3.0, 4, 3.0], [3.0, 4, 3.0], [2.0, 3, 3.0], [3.0, 3, 3.0], [3.0, 5, 5.0], [4.0, 4, 4.0], [2.0, 4, 3.0], [5.0, 3, 3.0], [3.0, 3, 3.0], [2.0, 4, 3.0], [4.0, 4, 4.0], [5.0, 4, 3.0], [4.0, 4, 3.0], [4.0, 4, 4.0], [4.0, 4, 3.0], [4.0, 5, 4.0], [5.0, 4, 4.0], [5.0, 4, 3.0], [5.0, 4, 3.0], [3.0, 6, 5.0], [7.0, 6, 6.0], [4.0, 4, 4.0], [4.0, 5, 5.0], [3.0, 4, 4.0], [4.0, 4, 4.0], [4.0, 4, 4.0], [4.0, 4, 4.0], [4.0, 4, 4.0], [3.0, 5, 5.0], [4.0, 5, 5.0], [3.0, 4, 4.0]], [[0, 0, 0], [4.0, 6, 6.0], [6.0, 6, 6.0], [9.0, 5, 4.0], [10.0, 5, 5.0], [5.0, 4, 4.0], [4.0, 5, 4.0], [6.0, 6, 6.0], [3.0, 5, 4.0], [4.0, 6, 5.0], [5.0, 7, 6.0], [8.0, 4, 4.0], [4.0, 5, 5.0], [7.0, 6, 6.0], [4.0, 7, 6.0], [6.0, 5, 5.0], [4.0, 6, 6.0], [4.0, 7, 5.0], [5.0, 4, 4.0], [6.0, 5, 5.0], [6.0, 8, 6.0], [6.0, 5, 5.0], [4.0, 7, 7.0], [6.0, 6, 6.0], [3.0, 4, 4.0], [7.0, 7, 5.0], [4.0, 5, 4.0], [4.0, 5, 4.0], [5.0, 5, 5.0], [6.0, 6, 6.0], [4.0, 5, 5.0], [7.0, 8, 6.0], [4.0, 5, 3.0], [7.0, 6, 6.0], [4.0, 4, 4.0], [7.0, 8, 8.0], [4.0, 6, 6.0], [5.0, 6, 4.0], [3.0, 7, 4.0], [4.0, 5, 5.0], [3.0, 4, 4.0], [6.0, 6, 6.0], [4.0, 8, 8.0], [4.0, 5, 5.0], [5.0, 5, 4.0], [5.0, 6, 5.0], [3.0, 5, 5.0], [10.0, 4, 4.0], [5.0, 6, 6.0], [7.0, 8, 8.0], [5.0, 5, 5.0], [5.0, 6, 6.0], [5.0, 6, 6.0], [6.0, 6, 5.0], [5.0, 7, 6.0], [4.0, 6, 3.0], [6.0, 5, 4.0], [4.0, 5, 5.0], [5.0, 5, 4.0], [5.0, 5, 5.0]], [[0, 0, 0], [5.0, 6, 6.0], [8.0, 7, 7.0], [6.0, 9, 8.0], [4.0, 5, 4.0], [6.0, 9, 9.0], [5.0, 5, 4.0], [7.0, 8, 7.0], [7.0, 7, 7.0], [5.0, 7, 5.0], [8.0, 7, 7.0], [5.0, 6, 6.0], [7.0, 8, 6.0], [5.0, 7, 7.0], [5.0, 6, 6.0], [11.0, 8, 8.0], [5.0, 7, 7.0], [7.0, 9, 9.0], [4.0, 6, 4.0], 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20, 16.0], [25.0, 24, 20.0], [24.0, 23, 18.0], [39.0, 25, 25.0], [23.0, 21, 20.0], [24.0, 20, 20.0], [24.0, 22, 19.0], [21.0, 23, 23.0], [23.0, 25, 22.0], [31.0, 24, 22.0], [35.0, 37, 36.0], [26.0, 20, 18.0], [24.0, 24, 24.0], [17.0, 17, 17.0], [26.0, 22, 21.0], [16.0, 22, 19.0], [27.0, 25, 23.0], [19.0, 18, 17.0], [23.0, 29, 28.0], [21.0, 25, 24.0], [23.0, 23, 22.0], [14.0, 18, 17.0], [20.0, 29, 27.0], [26.0, 22, 18.0]]]\n",
    "\n",
    "\n",
    "mean_data = []\n",
    "\n",
    "# 计算均值\n",
    "for i in data:\n",
    "    mean_data.append(np.mean(i, axis=0))\n",
    "\n",
    "# 提取 num_node 数组\n",
    "sd_num = list(range(10, len(data) * 10 + 10, 10))\n",
    "\n",
    "# 提取三个参数的均值列\n",
    "# sp_gd = [item[0] for item in mean_data]\n",
    "sp_psp = [item[0] for item in mean_data]\n",
    "rpd_gd = [item[1] for item in mean_data]\n",
    "rpsp = [item[2] for item in mean_data]\n",
    "\n",
    "sp_psp_mean = np.mean(sp_psp)\n",
    "rpd_gd_mean = np.mean(rpd_gd)\n",
    "rpsp_mean = np.mean(rpsp)\n",
    "\n",
    "print((rpd_gd[19] - rpsp[19]) / rpd_gd[19])\n",
    "print((sp_psp[19] - rpsp[19]) / sp_psp[19])\n",
    "\n",
    "# 可视化\n",
    "plt.figure(figsize=(8, 6))\n",
    "plt.plot(sd_num, sp_psp, label='SP+PSP', marker='o')\n",
    "plt.plot(sd_num, rpd_gd, label='RPD+GD', marker='s')\n",
    "plt.plot(sd_num, rpsp, label='RPSP-HE', marker='^')\n",
    "\n",
    "plt.xlabel('Number of QKD Request')\n",
    "plt.ylabel('Used Time Slots')\n",
    "plt.title('node_num=60, alpha=0.2')\n",
    "plt.legend()\n",
    "plt.grid(True)\n",
    "plt.savefig(\"var_sd_num.svg\", format=\"svg\")\n",
    "plt.show()\n"
   ]
  }
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